Virginie Bonnaillie-Noël

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Discrete spectrum of the magnetic Laplacian on perturbed half-planes

Virginie Bonnaillie-Noël , Søren Fournais , Ayman Kachmar , Nicolas Raymond

Bulletin of the London Mathematical Society, 2024, 56 (7), pp.2529-2551. ⟨10.1112/blms.13070⟩

Article dans une revue hal-03763777v1
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Discrete spectrum of the magnetic Laplacian on perturbed half‐planes

Virginie Bonnaillie-Noël , Søren Fournais , Ayman Kachmar , Nicolas Raymond

Bulletin of the London Mathematical Society, 2024, 56 (7), pp.2529-2551. ⟨10.1112/blms.13070⟩

Article dans une revue hal-04787256v1
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Purely magnetic tunneling effect in two dimensions

Virginie Bonnaillie-Noël , Frédéric Hérau , Nicolas Raymond

Inventiones Mathematicae, 2021, 227, pp.745-793. ⟨10.1007/s00222-021-01073-x⟩

Article dans une revue hal-02399073v2
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Asymptotic expansions for the conductivity problem with nearly touching inclusions with corner

Virginie Bonnaillie-Noël , Clair Poignard , Grégory Vial

Annales Henri Lebesgue, 2019, 3, pp.381-406. ⟨10.5802/ahl.36⟩

Article dans une revue hal-01766052v2
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Minimal Partitions for p-norms of eigenvalues

Beniamin Bogosel , Virginie Bonnaillie-Noël

Interfaces and Free Boundaries : Mathematical Analysis, Computation and Applications, 2018, 20, pp.129-163

Article dans une revue hal-01419169v1
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A Dirichlet problem for the Laplace operator in a domain with a small hole close to the boundary

Virginie Bonnaillie-Noël , Matteo Dalla Riva , Marc Dambrine , Paolo Musolino

Journal de Mathématiques Pures et Appliquées, 2018, ⟨10.1016/j.matpur.2018.01.004⟩

Article dans une revue hal-01415983v4
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Optimal partitions for the sum and the maximum of eigenvalues

Beniamin Bogosel , Virginie Bonnaillie-Noël

Publicaciones del Seminario Matemático García Galdeano, 2018

Article dans une revue hal-01457117v1
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Holomorphic extension of the de Gennes function

Virginie Bonnaillie-Noël , Frédéric Hérau , Nicolas Raymond

Annales Mathématiques Blaise Pascal, 2017, ⟨10.5802/ambp.369⟩

Article dans une revue hal-01415648v2
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Semiclassical tunneling and magnetic flux effects on the circle

Virginie Bonnaillie-Noël , Frédéric Hérau , Nicolas Raymond

Journal of Spectral Theory, 2017, 7 (3), pp.771-796. ⟨10.4171/JST/177⟩

Article dans une revue hal-01152499v2
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Interactions Between Moderately Close Inclusions for the Two-Dimensional Dirichlet–Laplacian

Virginie Bonnaillie-Noël , Marc Dambrine , Christophe Lacave

Applied Mathematics Research eXpress, 2016, 2016 (1), pp.1 - 23. ⟨10.1093/amrx/abv008⟩

Article dans une revue hal-01120173v2
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Magnetic WKB Constructions

Virginie Bonnaillie-Noël , Nicolas Raymond , Frédéric Hérau

Archive for Rational Mechanics and Analysis, 2016, 221 (2), pp.817-891. ⟨10.1007/s00205-016-0987-x⟩

Article dans une revue hal-00966003v3
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Spectral minimal partitions for a family of tori

Virginie Bonnaillie-Noël , Corentin Léna

Experimental Mathematics, 2016, ⟨10.1080/10586458.2016.1183154⟩

Article dans une revue hal-01131601v4

Efficient numerical calculation of drift and diffusion coefficients for the diffusion approximation of kinetic equations

Thierry Goudon , Virginie Bonnaillie-Noël , José Antonio Carrillo , Pavliotis Greg

IMA Journal of Numerical Analysis, 2016

Article dans une revue hal-01270345v1
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Breaking a magnetic zero locus: model operators and numerical approach

Virginie Bonnaillie-Noël , Nicolas Raymond

Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2015, 95 (2), pp.120-139. ⟨10.1002/zamm.201300086⟩

Article dans une revue hal-00801365v3

Permeability through a perforated domain for the incompressible 2D Euler equations

Virginie Bonnaillie-Noël , Christophe Lacave , Nader Masmoudi

Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2015, 32 (1), pp.159-182. ⟨10.1016/j.anihpc.2013.11.002⟩

Article dans une revue hal-00835060v1
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Magnetic Neumann Laplacian on a sharp cone

Virginie Bonnaillie-Noël , Nicolas Raymond

Calculus of Variations and Partial Differential Equations, 2015, 53 (1-2), pp.125-147. ⟨10.1007/s00526-014-0743-8⟩

Article dans une revue hal-00860318v1
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Artificial conditions for the linear elasticity equations

Virginie Bonnaillie-Noël , Marc Dambrine , Frédéric Hérau , Grégory Vial

Mathematics of Computation, 2015, 84 (294), pp.1599-1632. ⟨10.1090/S0025-5718-2014-02901-3⟩

Article dans une revue hal-00763441v2

On the eigenvalues of Aharonov-Bohm operators with varying poles

Virginie Bonnaillie-Noël , Benedetta Noris , Manon Nys , Susanna Terracini

Analysis & PDE, 2014, 7 (6), pp.1365-1395. ⟨10.2140/apde.2014.7.1365⟩

Article dans une revue hal-00872445v1
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Spectral minimal partitions of a sector

Virginie Bonnaillie-Noël , Corentin Léna

Discrete and Continuous Dynamical Systems - Series B, 2014, 19 (1), pp.27-53. ⟨10.3934/dcdsb.2014.19.27⟩

Article dans une revue hal-00763467v1
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Peak power in the 3D magnetic Schrödinger equation

Virginie Bonnaillie-Noël , Nicolas Raymond

Journal of Functional Analysis, 2013, 265 (8), pp.1579-1614. ⟨10.1016/j.jfa.2013.06.014⟩

Article dans une revue hal-00747708v2

On spectral minimal partitions: the disk revisited.

Virginie Bonnaillie-Noël , Bernard Helffer

Annals of the University of Bucharest. Mathematical series, 2013, 4 (LXII) (1), pp.321-342

Article dans une revue hal-00961299v1
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Interactions between moderately close circular inclusions: the Dirichlet-Laplace equation in the plane

Virginie Bonnaillie-Noël , Marc Dambrine

Asymptotic Analysis, 2013, 84 (3-4), pp.197-227. ⟨10.3233/ASY-131174⟩

Article dans une revue hal-00680404v1
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Harmonic oscillators with Neumann condition on the half-line

Virginie Bonnaillie-Noël

Communications on Pure and Applied Mathematics, 2012, 11 (6), pp.2221-2237. ⟨10.3934/cpaa.2012.11.2221⟩

Article dans une revue hal-00267803v2

À la découverte des partitions spectrales minimales

Virginie Bonnaillie-Noël , Bernard Helffer

Images des mathématiques, 2012, ⟨10.60868/43nq-gf66⟩

Article dans une revue hal-05557500v1
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Discrete spectrum of a model Schrödinger operator on the half-plane with Neumann conditions

Virginie Bonnaillie-Noël , Monique Dauge , Nicolas Popoff , Nicolas Raymond

Zeitschrift für Angewandte Mathematik und Physik = Journal of Applied mathematics and physics = Journal de mathématiques et de physique appliquées, 2012, 63 (2), pp.203-231. ⟨10.1007/s00033-011-0163-y⟩

Article dans une revue hal-00527643v4
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Artificial boundary conditions to compute correctors in linear elasticity

Virginie Bonnaillie-Noël , Delphine Brancherie , Marc Dambrine , Grégory Vial

Numerical Analysis and Applications, 2012, 5 (2), pp.129-135. ⟨10.1134/S199542391202005X⟩

Article dans une revue hal-00951567v1

Multiscale expansion and numerical approximation for surface defects

Virginie Bonnaillie-Noël , Delphine Brancherie , Marc Dambrine , Frédéric Hérau , Sébastien Tordeux et al.

ESAIM: Proceedings, 2011, 33, pp.22-35. ⟨10.1051/proc/201133003⟩

Article dans une revue hal-00771995v1
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Numerical analysis of nodal sets for eigenvalues of Aharonov-Bohm Hamiltonians on the square and application to minimal partitions

Virginie Bonnaillie-Noël , Bernard Helffer

Experimental Mathematics, 2011, 20 (3), pp.304-322. ⟨10.1080/10586458.2011.565240⟩

Article dans une revue hal-00429551v1
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On generalized Ventcel's type boundary conditions for Laplace operator in a bounded domain

Virginie Bonnaillie-Noël , Marc Dambrine , Frédéric Hérau , Grégory Vial

SIAM Journal on Mathematical Analysis, 2010, 42 (2), pp.931-945. ⟨10.1137/090756521⟩

Article dans une revue hal-00376786v1
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Numerical simulations for nodal domains and spectral minimal partitions

Virginie Bonnaillie-Noël , Bernard Helffer , Grégory Vial

ESAIM: Control, Optimisation and Calculus of Variations, 2010, 16 (1), pp.221-246

Article dans une revue hal-00150455v1

Effect of micro-defects on structure failure : coupling asymptotic analysis and strong discontinuity approach

Virginie Bonnaillie-Noël , Delphine Brancherie , Marc Dambrine , Sébastien Tordeux , Grégory Vial

Revue Européenne de Mécanique Numérique/European Journal of Computational Mechanics, 2010, 19 (1-3), pp.165-175. ⟨10.3166/ejcm.19.165-175⟩

Article dans une revue inria-00527619v1

Aharonov–Bohm Hamiltonians, isospectrality and minimal partitions

Virginie Bonnaillie-Noël , Bernard Helffer , Thomas Hoffmann-Ostenhof

Journal of Physics A: Mathematical and Theoretical, 2009, 42 (18), pp.185-203. ⟨10.1088/1751-8113/42/18/185203⟩

Article dans une revue istex hal-00384081v1

Interactions between moderately close inclusions for the Laplace equation

Virginie Bonnaillie-Noël , Marc Dambrine , Sébastien Tordeux , Grégory Vial

Mathematical Models and Methods in Applied Sciences, 2009, 19 (10), pp.1853-1882. ⟨10.1142/S021820250900398X⟩

Article dans une revue hal-00455312v1
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Superconductivity in domains with corners

Virginie Bonnaillie-Noël , Soeren Fournais

Reviews in Mathematical Physics, 2007, 19 (6), pp.607-637

Article dans une revue hal-00131242v1

On moderately close inclusions for the Laplace equation

Virginie Bonnaillie-Noël , Marc Dambrine , Sébastien Tordeux , Grégory Vial

Comptes Rendus. Mathématique, 2007, 345 (11), pp.609-614. ⟨10.1016/j.crma.2007.10.037⟩

Article dans une revue hal-00384110v1
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Computations of the first eigenpairs for the Schrödinger operator with magnetic field

Virginie Bonnaillie-Noël , Monique Dauge , Daniel Martin , Grégory Vial

Computer Methods in Applied Mechanics and Engineering, 2007, 196, pp.3841-3858. ⟨10.1016/j.cma.2006.10.041⟩

Article dans une revue hal-00015903v1

Numerical computations of fundamental eigenstates for the Schrödinger operator under constant magnetic field

François Alouges , Virginie Bonnaillie-Noël

Numerical Methods for Partial Differential Equations, 2006, 22 (5), pp.1090-1105. ⟨10.1002/num.20137⟩

Article dans une revue hal-00447135v1
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Asymptotics for the low-lying eigenstates of the Schroedinger operator with magnetic field near corners

Virginie Bonnaillie-Noël , Monique Dauge

Annales Henri Poincaré, 2006, 7, pp.899-931

Article dans une revue hal-00012081v1
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Magnetic Laplacian in sharp three dimensional cones

Virginie Bonnaillie-Noël , Monique Dauge , Nicolas Popoff , Nicolas Raymond

Operator Theory Advances and Application, 254, Birkhäuser/Springer, pp.37-56, 2016, Spectral Theory and Mathematical Physics, 978-3-319-29992-1

Chapitre d'ouvrage hal-01151155v3
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Asymptotic behavior of u-capacities and singular perturbations for the Dirichlet-Laplacian

Laura Abatangelo , Virginie Bonnaillie-Noël , Corentin Léna , Paolo Musolino

2019

Pré-publication, Document de travail hal-02367272v1
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Global representation and multi-scale expansion for the Dirichlet problem in a domain with a small hole close to the boundary

Virginie Bonnaillie-Noël , Matteo Dalla , Marc Dambrine , Paolo Musolino

2019

Pré-publication, Document de travail hal-02176154v1
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Curvature induced magnetic bound states: towards the tunneling effect for the ellipse

Virginie Bonnaillie-Noël , Frédéric Hérau , Nicolas Raymond

2017

Pré-publication, Document de travail hal-01404924v2
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Nodal domains, spectral minimal partitions, and their relation to Aharonov-Bohm operators

Virginie Bonnaillie-Noël , Bernard Helffer , Thomas Hoffmann-Ostenhof

2017

Pré-publication, Document de travail hal-01627339v1
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Nodal and spectral minimal partitions – The state of the art in 2015 –

Virginie Bonnaillie-Noël , B Helffer

2015

Pré-publication, Document de travail hal-01167181v1
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Simulation of resonant tunneling heterostructures: numerical comparison of a complete Schr{ö}dinger-Poisson system and a reduced nonlinear model

Virginie Bonnaillie-Noël , Ali Faraj , Francis Nier

2008

Pré-publication, Document de travail hal-00267725v1
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On spectral minimal partitions II, the case of the rectangle

Virginie Bonnaillie-Noël , Bernard Helffer , Thomas Hoffmann-Ostenhof

2008

Pré-publication, Document de travail hal-00323849v1
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Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells I

Virginie Bonnaillie-Noël , Francis Nier , Mamodyasine Patel

2007

Pré-publication, Document de travail hal-00124683v1
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Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells II

Virginie Bonnaillie-Noël , Francis Nier , Mamodyasine Patel

2007

Pré-publication, Document de travail hal-00124705v2
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Computing the steady states for an asymptotic model of quantum transport in resonant heterostructures

Virginie Bonnaillie-Noël , Francis Nier , Mamodyasine Patel

2005

Pré-publication, Document de travail hal-00012708v1